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An electric motor pumps 200 liter of water to a reservoir of height 6m in 2 s. Take g = 10 m/s?. Calculate the power developed by the motor. Take 1 liter of water = 1kg of water.​

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Eduard22sly

The power developed by the electric motor is 6000 Watts

Definition of power

Power is defined as the rate at which work is done. Mathematically, it is expressed as

Power = Work / time

But

Work = mass (m) × acceleration due to gravity (g) × height (h)

Work = mgh

Therefore,

Power = mgh / t

With the above formula, we can obtain the power developed by the motor.

How to determine the power

  • Mass (m) = 200 Kg
  • Height (h) = 6 m
  • Acceleration due to gravity (g) = 10 m/s²
  • Time (t) = 2 s
  • Power =?

Power = mgh / t

Power = (200 × 10 × 6) / 2

Power = 12000 / 2

Power = 6000 Watts

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